Results 41 to 50 of about 13,124,526 (179)
A nonsmooth critical point theory approach to some nonlinear elliptic equations in {${\Bbb R}^n$}
Differential and Integral Equations, 2000 A quasilinear elliptic equation \[ - \sum^{n}_{i,j=1} D_{j}\bigl(a_{ij}(x,u)D_{i}u\bigr) + \frac 12\sum^{n}_{i,j=1} {\partial a_{ij}\over\partial u} (x,u)D_{i}uD_{j}u + b(x)u = f(x,u) \tag{1} \] in \(\mathbb R^{n}\) is studied. Suppose that \(b\in L^\infty_{\text{loc}} (\mathbb R^{n})\) and \(b\geq b_{0}>0\) almost everywhere for a constant \(b_0 ...
GAZZOLA, FILIPPO, RADULESCU V.
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On a global implicit function theorem for locally Lipschitz maps via non-smooth critical point theory [PDF]
Quaestiones Mathematicae, 2017 We prove a non-smooth generalization of the global implicit function theorem. More precisely we use the non-smooth local implicit function theorem and the non-smooth critical point theory in order to prove a non-smooth global implicit function theorem for locally Lipschitz functions. A comparison between several global inversion theorems is discussed.
Galewski, Marek, Rădulescu, Marius
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Advanced Intelligent Discovery, EarlyView.This article outlines how artificial intelligence could reshape the design of next‐generation transistors as traditional scaling reaches its limits. It discusses emerging roles of machine learning across materials selection, device modeling, and fabrication processes, and highlights hierarchical reinforcement learning as a promising framework for ...
Shoubhanik Nath +4 more
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Periodic solution for second-order impulsive differential inclusions with relativistic operator
Boundary Value Problems, 2018 In this paper, the boundary value problem of a second-order impulsive differential inclusion involving a relativistic operator is studied. First, the singular problem is reduced to an equivalent non-singular problem in order to better apply the ...
Suiming Shang +3 more
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Homoclinic solutions for a differential inclusion system involving the p(t)-Laplacian
Advances in Nonlinear Analysis, 2022 The aim of this article is to study nonlinear problem driven by the p(t)p\left(t)-Laplacian with nonsmooth potential. We establish the existence of homoclinic solutions by using variational principle for locally Lipschitz functions and the properties of ...
Cheng Jun, Chen Peng, Zhang Limin
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Do Corporate ESG Disclosures Drive Consumer Demand (Sales)? The Role of Environmental Sensitivity
Business Strategy and the Environment, EarlyView.ABSTRACT The question of whether strong environmental, social, and governance (ESG) disclosure largely benefits high‐demand customers or if it generates value across all sales levels is yet to be empirically verified. This study, therefore, examines how ESG performance influences consumer demand (sales outcomes) among listed firms across African ...
Idorenyin J. Okon +2 more
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Three solutions for second-order impulsive differential inclusions with Sturm-Liouville boundary conditions via nonsmooth critical point theory [PDF]
Topological Methods in Nonlinear Analysis, 2015 A second-order impulsive differential inclusion with Sturm-Liouville boundary conditions is studied. By using a nonsmooth version of a three critical point theorem of Ricceri, the existence of three solutions is obtained.
Tian, Yu +3 more
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Modeling proppant transport and settling in a 3D propagating fracture
Deep Underground Science and Engineering, EarlyView.A versatile multiphysics tool is presented for simulating the complex processes involved in hydraulic fracturing treatments. The model couples fracture opening and propagation, variable‐density slurry flow, and proppant particle transport within the multiphysics object‐oriented simulation environment framework, based on two‐phase mixture equations and ...
Robert Egert +2 more
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An Adaptive Multiple Shooting Strategy for Optimal Control
Optimal Control Applications and Methods, EarlyView.We study how multiple shooting affects the convergence of Newton‐type methods for optimal control, comparing several shooting strategies across 40 benchmark problems. The study covers interior‐point and sequential quadratic programming methods with both Quasi‐Newton approximations and exact Hessians.
Robert Lampel, Sebastian Sager
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CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Generalisation is a crucial aspect of deep learning, enabling models to perform well on unseen data. Currently, most optimisers that improve generalisation typically suffer from efficiency bottlenecks. This paper proposes a double‐integration‐enhanced stochastic gradient descent (DIESGD) optimiser, which treats the negative gradient as an ...
Ting Li +3 more
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